What is the Greatest Common Factor of 50764 and 50771?

Greatest common factor (GCF) of 50764 and 50771 is 7.

GCF(50764,50771) = 7

We will now calculate the prime factors of 50764 and 50771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50764 and 50771.

How to find the GCF of 50764 and 50771?

We will first find the prime factorization of 50764 and 50771. After we will calculate the factors of 50764 and 50771 and find the biggest common factor number .

Step-1: Prime Factorization of 50764

Prime factors of 50764 are 2, 7, 37. Prime factorization of 50764 in exponential form is:

50764 = 2² × 7³ × 37¹

Step-2: Prime Factorization of 50771

Prime factors of 50771 are 7, 7253. Prime factorization of 50771 in exponential form is:

50771 = 7¹ × 7253¹

Step-3: Factors of 50764

List of positive integer factors of 50764 that divides 50764 without a remainder.

1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 343, 518, 686, 1036, 1372, 1813, 3626, 7252, 12691, 25382

Step-4: Factors of 50771

List of positive integer factors of 50771 that divides 50764 without a remainder.

1, 7, 7253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50764 and 50771. The biggest common factor number is the GCF number.
So the greatest common factor 50764 and 50771 is 7.

Also check out the Least Common Multiple of 50764 and 50771